Math, asked by mahir6943, 8 months ago

The cubic polynomial p(x) = x^3 - x has
zeroes.

Answers

Answered by mastermaths55

1

Step-by-step explanation:

−1/3 is a zero of the polynomial,

⇒(x+

3

1

) will be one of the factors of the polynomial

Using long division method (refer attache image) we know the quotient =(3x

2

−6x−9)

Factorizing the quotient,

(3x

2

−6x−9)=(3x

2

−9x+3x−9)=3x(x−3)+3(x−3)=3(x+1)(x−3)

From the above equation we can say, the other 2 zeroes of the polynomial are x=−1,3

Answered by Anonymous

4

$\boxed{Answer:-}$

The cubic polynomial has 3 zeroes becoz the degree of the polynomial is 3 And the degree represents the number if Zeroes of the polynomial .

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